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Find the value of 2∫1 (6x+1) / (6x2-7x+2) dx, expressing your answer in the form mln(2) + nln(3), where m and n are integers.

This fraction can’t be integrated easily, but if we split it using partial fractions, these will be easier to integrate. To do this, we need to factoise the denominator, as this will follow the method of ...

Answered by Jed M. • Maths tutor

13491 Views

How do we regulate body temperature?

Homeostasis, the regulation of stable body conditions, includes control of body temperature. We function efficiently at 37 degrees celsius, as our proteins and enzymes work best at this temperature.

Answered by Sophie S. • Biology tutor

4888 Views

What are some examples of hard vs. soft engineering?

Hard engineering manages coastal zones in order to protect high-value areas from flooding or falling into the sea through erosion. These structures are usually high-cost and short-term.

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Answered by Sophie S. • Geography tutor

26102 Views

Can you differentiate the following function using two methods:- y = e^(2x+1)

The first method to differentiate this fuction is the basic chain rule method. differentiate 2x+1 and add this to the front of the function. This gives us 2e^(2x+1). the other method to differentiate this...

Answered by Rajenth N. • Maths tutor

4923 Views

What is the effect of a catalyst in an equilibrium process?

A catalyst provides an alternative pathway for a reaction to take place and therefore helping the reaction to take place at a lower activation energy. In an equilibrium process, a catalyst has no effect o...

Answered by Rajenth N. • Chemistry tutor

23636 Views